Global bifurcations from the center of mass in the Sitnikov problem
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Publication:1956553
DOI10.3934/dcdsb.2010.14.719zbMath1380.70028OpenAlexW2085516913MaRDI QIDQ1956553
Publication date: 22 September 2010
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2010.14.719
Three-body problems (70F07) Bifurcations and instability for nonlinear problems in mechanics (70K50) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems in classical and celestial mechanics (37N05)
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A bifurcation in the family of periodic orbits for the spatial isosceles 3 body problem ⋮ Bifurcation of periodic orbits for the \(N\)-body problem, from a nongeometrical family of solutions ⋮ On the global families of periodic solutions of a generalized Sitnikov problem ⋮ Symmetric periodic solutions in the Sitnikov problem ⋮ Quantifying Poincaré's continuation method for nonlinear oscillators ⋮ Periodic oscillations in the restricted hip-hop \(2N+1\)-body problem ⋮ On the Stability of Symmetric Periodic Orbits of the Elliptic Sitnikov Problem ⋮ Stability and bifurcations of even periodic orbits in the Sitnikov problem ⋮ Quantitative Stability of Certain Families of Periodic Solutions in the Sitnikov Problem ⋮ Resonance tongues in the linear Sitnikov equation ⋮ Periodic solutions of a generalized Sitnikov problem ⋮ A Proof for a Stability Conjecture on Symmetric Periodic Solutions of the Elliptic Sitnikov Problem ⋮ On the stability of symmetric periodic solutions of the generalized elliptic Sitnikov \((N + 1)\)-body problem
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